Given numbers are 828,729,609,990,797

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 828,729,609,990,797 is 596804933340.

Find LCM of 828,729,609,990,797 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 3 x 46 x 81 x 203 x 55 x 797 = 596804933340

Therefore, the lowest common multiple of 828,729,609,990,797 is 596804933340.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

828 x 729 x 609 x 990 x 797 = 290047197603240

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

729 : 1, 3, 9, 27, 81, 243, 729

609 : 1, 3, 7, 21, 29, 87, 203, 609

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

797 : 1, 797

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,729,609,990,797, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

729:3x 3x 3x 3x 3x 3

609:3x 7x 29

990:2x 3x 3x 5x 11

797:797

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 3x 3 = 486

Therefore, the value for common factors is 486.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 290047197603240/(1x486)

LCM = 290047197603240/486

LCM = 596804933340

Thus, we can understand that the LCM of 828,729,609,990,797 is 596804933340.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 490, 401, 628, 862, 705
• LCM of 360, 172, 167, 344, 141
• LCM of 805, 338, 664, 965, 688
• LCM of 107, 467, 481, 153, 290
• LCM of 545, 535, 294, 848, 488

1. What is the LCM of 828, 729, 609, 990, 797?

Answer: LCM of 828, 729, 609, 990, 797 is 596804933340.

2. How to calculate the LCM of 828, 729, 609, 990, 797?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 828, 729, 609, 990, 797.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.